Chunfang Miao, Yunquan Ke, "Positive Periodic Solutions of a Generalized Gilpin-Ayala Competitive System with Time Delays," WSEAS Transactions on Mathematics, vol. 12, pp. -, 2013, DOI:
Chunfang Miao, Yunquan Ke. Positive Periodic Solutions of a Generalized Gilpin-Ayala Competitive System with Time Delays.
WSEAS Transactions on Mathematics. 2013;12:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
Positive Periodic Solutions of a Generalized Gilpin-Ayala Competitive System with Time Delays
Authors: ,
Abstract: In this paper, we investigate a generalized Gilpin-Ayala competition system which is more general and more realistic than the classical Lotka-Volterra competition system. By the fixed-point theorem and differential mean value, some sufficient conditions guaranteeing the existence, uniqueness and exponential stability of positive periodic solutions for a generalized Gilpin-Ayala competition system with time delays are given. Two illustrative examples are also given in the end to show the effectiveness of our results.
Keywords:
exponential stability, Gilpin-Ayala competition system, periodic solution, fixed-point theorem
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 12, 2013DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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